An isosceles triangle has two long side and one short side , the short side is half the length of a long side, find the short side,

1 answer

Let the length of the short side be x, and the length of the long side be 2x (since the short side is half the length of a long side).

The two long sides of the triangle are equal, so:

2x = 2x

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So:

2x + 2x > x

4x > x

3x > 0

Therefore, x must be greater than 0.

Now we can solve for x:

2x = 2x

2x + 2x > x

4x > x

3x > 0

x > 0

x = 2x/2

x = 2x รท 2

x = x

Therefore, the length of the short side is x, which is half the length of the long side.